Modelling and simulations of multilane traffic flow by kinetic theory methods

被引：21
作者：
Bonzani, I. [1 ]
Cumin, L. M. Gramani [2 ]
机构：
[1] Politecn Turin, Dept Math, Turin, Italy
[2] Univ Fed Parana, Dept Math, BR-81531990 Curitiba, Parana, Brazil
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期
关键词：
Multilane traffic flow; Kinetic theory; Nonlinearity; Equilibrium flow;
D O I：
10.1016/j.camwa.2008.05.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper develops a discrete velocity mathematical model in spatially homogeneous conditions for vehicular traffic along a multilane road. The approach consists of a natural development of a recent model proposed within the framework of the generalized kinetic theory with discrete velocities and described in details in this paper. Numerical simulations are provided for different road conditions and global densities. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2418 / 2428
页数：11
相关论文
共 15 条
[1]   On the mathematical theory of vehicular traffic flow - I. Fluid dynamic and kinetic modelling [J].
Bellomo, N ;
Delitala, M ;
Coscia, V .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (12) :1801-1843
[2]   From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow [J].
Bellomo, N ;
Marasco, A ;
Romano, A .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (03) :339-363
[3]   From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium [J].
Bonzania, I. ;
Mussone, L. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :610-616
[4]   On the mathematical theory of vehicular traffic flow II: Discrete velocity kinetic models [J].
Coscia, V. ;
Delitala, M. ;
Frasca, P. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2007, 42 (03) :411-421
[5]  
CUMIN LMG, 2008, INT J NONLI IN PRESS
[6]   Requiem for second-order fluid approximations of traffic flow [J].
Daganzo, CF .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1995, 29 (04) :277-286
[7]   Nonlinear models of vehicular traffic flow - new frameworks of the mathematical kinetic theory [J].
Delitala, M .
COMPTES RENDUS MECANIQUE, 2003, 331 (12) :817-822
[8]   Mathematical modeling of vehicular traffic: A discrete kinetic theory approach [J].
Delitala, Marcello ;
Tosin, Andrea .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (06) :901-932
[9]   Congestion on multilane highways [J].
Greenberg, JM ;
Klar, A ;
Rascle, M .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (03) :818-833
[10]   Traffic and related self-driven many-particle systems [J].
Helbing, D .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141
12